Ej. Pauwels et al., ENHANCEMENT OF PLANAR SHAPE THROUGH OPTIMIZATION OF FUNCTIONALS FOR CURVES, IEEE transactions on pattern analysis and machine intelligence, 17(11), 1995, pp. 1101-1105
We show how optimization of the Nordstrom and Mumford-Shah functionals
can be used to develop a type of curve-evolution that is able to pres
erve salient features of closed curves while simultaneously suppressin
g noise and irrelevant details. The idea is to characterize a curve by
means of its angle-function and apply the appropriate dynamics to thi
s representation. Upon convergence, the resulting form of the contour
is reconstructed from the representation.